{"paper":{"title":"On the forces that cable webs under tension can support and how to design cable webs to channel stresses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Graeme W. Milton, Guy Bouchitt\\'e, Ornella Mattei, Pierre Seppecher","submitted_at":"2018-10-29T21:37:48Z","abstract_excerpt":"In many applications of Structural Engineering the following question arises: given a set of forces $\\mathbf{f}_1,\\mathbf{f}_2,\\dots,\\mathbf{f}_N$ applied at prescribed points $\\mathbf{x}_1,\\mathbf{x}_2,\\dots,\\mathbf{x}_N$, under what constraints on the forces does there exist a truss structure (or wire web) with all elements under tension that supports these forces? Here we provide answer to such a question for any configuration of the terminal points $\\mathbf{x}_1,\\mathbf{x}_2,\\dots,\\mathbf{x}_N$ in the two- and three-dimensional case. Specifically, the existence of a web is guaranteed by a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12421","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}